A chainable continuum not homeomorphic to an inverse limit on [0, 1] with only one bonding map
Dorothy S. Marsh (1980)
Colloquium Mathematicae
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Displaying similar documents to “On topological types of the simplest indecomposable continua”
A chainable continuum not homeomorphic to an inverse limit on [0, 1] with only one bonding map
Fully closed maps and non-metrizable higher-dimensional Anderson-Choquet continua
Jerzy Krzempek (2010)
Colloquium Mathematicae
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Fedorchuk's fully closed (continuous) maps and resolutions are applied in constructions of non-metrizable higher-dimensional analogues of Anderson, Choquet, and Cook's rigid continua. Certain theorems on dimension-lowering maps are proved for inductive dimensions and fully closed maps from spaces that need not be hereditarily normal, and some of the examples of continua we construct have non-coinciding dimensions.
On a class of indecomposable continua
J. Krasinkiewicz (1974)
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An Exactly Two-to-One Map from an Indecomposable Chainable Continuum
Jerzy Krzempek (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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It is shown that a certain indecomposable chainable continuum is the domain of an exactly two-to-one continuous map. This answers a question of Jo W. Heath.
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S. Drobot (1971)
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David Ryden (2000)
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A procedure for obtaining points of irreducibility for an inverse limit on intervals is developed. In connection with this, the following are included. A semiatriodic continuum is defined to be a continuum that contains no triod with interior. Characterizations of semiatriodic and unicoherent continua are given, as well as necessary and sufficient conditions for a subcontinuum of a semiatriodic and unicoherent continuum M to lie within the interior of a proper subcontinuum of M. ...
Monotone images of -sets and hereditarily weakly confluent images of continua.
Hatch, Jonathan, Stanojević, Č.V. (2003)
Publications de l'Institut Mathématique. Nouvelle Série
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Chainable continua and homeomorphisms of the plane onto itself
Mirosław Sobolewski (1984)
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1/2-Homogeneous hyperspace suspensions
Sergio Macías, Patricia Pellicer-Covarrubias (2012)
Colloquium Mathematicae
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We continue the study of 1/2-homogeneity of the hyperspace suspension of continua. We prove that if X is a decomposable continuum and its hyperspace suspension is 1/2-homogeneous, then X must be continuum chainable. We also characterize 1/2-homogeneity of the hyperspace suspension for several classes of continua, including: continua containing a free arc, atriodic and decomposable continua, and decomposable irreducible continua about a finite set.
On composants of Hausdorff continua
M. Proffitt (1971)
Fundamenta Mathematicae
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Continua which cannot be mapped onto any nonplaner circle-like continuum
George W. Henderson (1971)
Colloquium Mathematicae
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A characterization of hereditarily decomposable snake-like continua
L. Mohler (1973)
Colloquium Mathematicae
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Continuum many tent map inverse limits with homeomorphic postcritical ω-limit sets
Chris Good, Brian E. Raines (2006)
Fundamenta Mathematicae
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We demonstrate that the set of topologically distinct inverse limit spaces of tent maps with a Cantor set for its postcritical ω-limit set has cardinality of the continuum. The set of folding points (i.e. points at which the space is not homeomorphic to the product of a zero-dimensional set and an arc) of each of these spaces is also a Cantor set.
On Applications of Bing-Krasinkiewicz-Lelek Maps
Eiichi Matsuhashi (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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We characterize Peano continua using Bing-Krasinkiewicz-Lelek maps. Also we deal with some topics on Whitney preserving maps.
On the hyperspaces of hereditarily indecomposable continua
J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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Continua and their non-separating subcontinua
D. E. Bennett, J. B. Fugate
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CONTENTSIntroduction......................................................................................................................................... 5Preliminaries...................................................................................................................................... 6Chapter I. Basic types and properties of non-separating continua......................................... 7 Terminal and end continua............................................................................................................
Inverse limit spaces defined by only finitely many distinct bonding maps
R. Jolly, James Rogers (1970)
Fundamenta Mathematicae
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On indecomposability and composants of chaotic continua
Hisao Kato (1996)
Fundamenta Mathematicae
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A homeomorphism f:X → X of a compactum X with metric d is expansive if there is c > 0 such that if x,y ∈ X and x ≠ y, then there is an integer n ∈ ℤ such that . A homeomorphism f: X → X is continuum-wise expansive if there is c > 0 such that if A is a nondegenerate subcontinuum of X, then there is an integer n ∈ ℤ such that . Clearly, every expansive homeomorphism is continuum-wise expansive, but the converse assertion is not true. In [6], we defined the notion of chaotic continua...